AISCAISC 360-22
Formulas

Formulas: unsymmetric and other members subjected to flexure and axial force

PDF page 152 · AISC 360-22

Equation H2-1

fraFca+frbwFcbw+frbzFcbz1.0\left.\frac{f_{r a}}{F_{c a}}+\frac{f_{r b w}}{F_{c b w}}+\frac{f_{r b z}}{F_{c b z}}\right.\rceil \leq 1.0

where

  • fra= required axial stress at the point of consideration, determined in accordance with Chapter C, using LRFD or ASD load combinations, ksi  (MPa) \begin{aligned} f_{r a} & =\text { required axial stress at the point of consideration, determined in accordance with Chapter C, using LRFD or ASD load combinations, ksi } \\ & \text { (MPa) }\end{aligned}
  • Fca= available axial stress at the point of consideration, determined in accordance with Chapter E for compression or Section D2 for tension, ksi  (MPa) \begin{aligned} F_{c a} & =\text { available axial stress at the point of consideration, determined in accordance with Chapter E for compression or Section D2 for tension, ksi } \\ & \text { (MPa) }\end{aligned}
  • frbw,frbz= required flexural stress at the point of consideration, determined in  accordance with Chapter C, using LRFD or ASD load combinations,  ksi (MPa) \begin{aligned} f_{r b w}, f_{r b z} & =\text { required flexural stress at the point of consideration, determined in } \\ & \text { accordance with Chapter C, using LRFD or ASD load combinations, } \\ & \text { ksi (MPa) }\end{aligned}

Fcbw,Fcbz=F_{c b w}, F_{c b z}= available flexural stress at the point of consideration, determined in accordance with Chapter F, ksi (MPa). Use the section modulus, S, for the specific location in the cross section and consider the sign of the stress.

  • ww = subscript relating symbol to major principal axis bending
  • z= subscript relating symbol to minor principal axis bending \begin{aligned} z & =\text { subscript relating symbol to minor principal axis bending }\end{aligned}

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